Solution reguliere a temps petit pour l'equation d'euler—poisson
- 1 January 1993
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 18 (5-6) , 731-745
- https://doi.org/10.1080/03605309308820948
Abstract
In this paper, we prove local in time existence of smooth solutions for the Cauchy problem associated to the Euler-Poisson system. For this, we study the action of the gravitation operator on uniformly local Sobolev spaces and we conclude via a non-linear iteration scheme.Keywords
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